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Finding the Third Proportional to 64,275 and 133,018.50

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Solution

The third proportional to 64,275 and 133,018.50 is: 275,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,275 : 133,018.50 = 133,018.50 : x
  2. Step 2: Convert to fraction form
    64,275/133,018.50 = 133,018.50/x
  3. Step 3: Cross multiply
    64,275x = 133,018.50 × 133,018.50
  4. Step 4: Simplify right side
    64,275x = 17,693,921,342.25
  5. Step 5: Solve for x
    x = 17,693,921,342.25/64,275
  6. Step 6: Final answer
    x = 275,284.66

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.